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Finding the Fourth Proportional to 2,574.40, 3,861.01 and 1,534.70

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Solution

The fourth proportional to 2,574.40, 3,861.01 and 1,534.70 is: 2,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.40 : 3,861.01 = 1,534.70 : x
  2. Step 2: Convert to fraction form
    2,574.40/3,861.01 = 1,534.70/x
  3. Step 3: Cross multiply
    2,574.40x = 3,861.01 × 1,534.70
  4. Step 4: Simplify right side
    2,574.40x = 5,925,492.05
  5. Step 5: Solve for x
    x = 5,925,492.05/2,574.40
  6. Step 6: Final answer
    x = 2,301.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.